in which all the \(G_i\)  have \(G\) -dimension zero.
By [1]}, if \(M\)  has finite Gorenstein dimension then \(\mbox{G-dim}\,_R(M)=\mbox{depth}\,R-\mbox{depth}\,_R(M)\) .
By [2]},
\(\mbox{G-dim}\,_R(M)\)  is bounded above by the complete intersection dimension, \(\mbox{CI-dim}\,_R(M)\) , of \(M\)  and if \(\mbox{CI-dim}\,_R(M)<\infty \)  then the equality holds.
